-4(x-8)=x+22

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Solution for -4(x-8)=x+22 equation: 


Simplifying
-4(x + -8) = x + 22

Reorder the terms:
-4(-8 + x) = x + 22
(-8 * -4 + x * -4) = x + 22
(32 + -4x) = x + 22

Reorder the terms:
32 + -4x = 22 + x

Solving
32 + -4x = 22 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
32 + -4x + -1x = 22 + x + -1x

Combine like terms: -4x + -1x = -5x
32 + -5x = 22 + x + -1x

Combine like terms: x + -1x = 0
32 + -5x = 22 + 0
32 + -5x = 22

Add '-32' to each side of the equation.
32 + -32 + -5x = 22 + -32

Combine like terms: 32 + -32 = 0
0 + -5x = 22 + -32
-5x = 22 + -32

Combine like terms: 22 + -32 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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